A Liouville theorem for some Bessel generalized operators. Issue 5 (4th May 2018)

• Record Type: Journal Article
• Authors: Galli, Vanesa; Molina, Sandra; Quintero, Alejandro
• Is Part Of: Integral transforms and special functions. Volume 29:Issue 5(2018)
• Page Start: 367
• Page End: 383
• Publication Date: 2018-05-04
• Subjects: Liouville theorem -- Bessel operator -- Hankel transform; 46F12 -- 47F05 -- 42A38 -- 44A05; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2018.1441295
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: In this paper we establish a Liouville theorem inH μ ′ for a wider class of operators in( 0, ∞ ) n that generalizes the n -dimensional Bessel operator. We will present two different proofs, based in two representation theorems for certain distributions 'supported in zero'.